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Pinning Synchronization of One-Sided Lipschitz Complex Networks

Author

Listed:
  • Fang Liu
  • Qiang Song
  • Jinde Cao
  • Jianquan Lu

Abstract

This paper studies the pinning synchronization in complex networks with node dynamics satisfying the one-sided Lipschitz condition which is less conservative than the well-known Lipschitz condition. Based on M-matrix theory and Lyapunov functional method, some simple pinning conditions are derived for one-sided Lipschitz complex networks with full-state and partial-state coupling, respectively. A selective pinning scheme is further provided to address the selection of pinned nodes and the design of pinning feedback gains for one-sided Lipschitz complex networks with general topologies. Numerical results are given to illustrate the effectiveness of the theoretical analysis.

Suggested Citation

  • Fang Liu & Qiang Song & Jinde Cao & Jianquan Lu, 2014. "Pinning Synchronization of One-Sided Lipschitz Complex Networks," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-8, April.
    • Handle: RePEc:hin:jnddns:627060
    DOI: 10.1155/2014/627060
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    Cited by:

    1. Yang, Li-xin & Long, Bin & Jiang, Jun & Liu, Xiao-Jun, 2021. "Analysis of synchronous stability and control of multiplex oscillatory power network," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    2. Xudong Hai & Guojian Ren & Yongguang Yu & Conghui Xu, 2019. "Adaptive Pinning Synchronization of Fractional Complex Networks with Impulses and Reaction–Diffusion Terms," Mathematics, MDPI, vol. 7(5), pages 1-17, May.
    3. Rehan, Muhammad & Tufail, Muhammad & Hong, Keum-Shik, 2016. "Delay-range-dependent synchronization of drive and response systems under input delay and saturation," Chaos, Solitons & Fractals, Elsevier, vol. 87(C), pages 197-207.
    4. He, Xinyi & Wang, Yuhan & Li, Xiaodi, 2021. "Uncertain impulsive control for leader-following synchronization of complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    5. Meng, Liang & Bao, Haibo, 2022. "Synchronization of delayed complex dynamical networks with actuator failure by event-triggered pinning control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 606(C).
    6. Ding, Dong & Tang, Ze & Wang, Yan & Ji, Zhicheng, 2020. "Synchronization of nonlinearly coupled complex networks: Distributed impulsive method," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    7. Ruiz-Silva, Adriana & Barajas-Ramírez, Juan Gonzalo, 2018. "Cluster synchronization in networks of structured communities," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 169-177.

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